Search a number
-
+
21991104 = 263273523
BaseRepresentation
bin101001111100…
…0111011000000
31112101021010100
41103320323000
521112203404
62103202400
7354631002
oct123707300
945337110
1021991104
1111460273
127446400
13472c7b5
142cc6372
151de5d39
hex14f8ec0

21991104 has 84 divisors (see below), whose sum is σ = 64019176. Its totient is φ = 7216128.

The previous prime is 21991091. The next prime is 21991117. The reversal of 21991104 is 40119912.

It is an interprime number because it is at equal distance from previous prime (21991091) and next prime (21991117).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41787 + ... + 42309.

Almost surely, 221991104 is an apocalyptic number.

21991104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32009588).

21991104 is an abundant number, since it is smaller than the sum of its proper divisors (42028072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21991104 is a wasteful number, since it uses less digits than its factorization.

21991104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 21991104 is about 4689.4673471515. The cubic root of 21991104 is about 280.1661598799.

The spelling of 21991104 in words is "twenty-one million, nine hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 523 576 584 657 876 1046 1168 1314 1569 1752 2092 2336 2628 3138 3504 4184 4672 4707 5256 6276 7008 8368 9414 10512 12552 14016 16736 18828 21024 25104 33472 37656 38179 42048 50208 75312 76358 100416 114537 150624 152716 229074 301248 305432 343611 458148 610864 687222 916296 1221728 1374444 1832592 2443456 2748888 3665184 5497776 7330368 10995552 21991104